name
string
module
string
deps
list
allowCompletion
bool
contDiffWithinAt_infty
Mathlib.Analysis.Calculus.ContDiff.Defs
[ "NormedSpace", "ENat.instNatCast", "instTopENat", "congrArg", "LE.le", "_private.Mathlib.Analysis.Calculus.ContDiff.Defs.0.contDiffWithinAt_infty._simp_1_1", "Nat.cast", "WithTop.some", "instLEENat", "iff_self", "_private.Mathlib.Analysis.Calculus.ContDiff.Defs.0.contDiffWithinAt_infty._simp_1_2...
true
CategoryTheory.Triangulated.Octahedron.rec
Mathlib.CategoryTheory.Triangulated.Triangulated
[ "CategoryTheory.Triangulated.Octahedron.mk", "CategoryTheory.Triangulated.Octahedron", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.Additive", "CategoryTheory.shiftFunctor", "Membership.mem", "Int", "Int.instAddMonoid", "CategoryTheory.Pretriangulated.Triangle", ...
false
WithCStarModule.instNormedAddCommGroupForall._proof_19
Mathlib.Analysis.CStarAlgebra.Module.Constructions
[ "Pi.uniformSpace", "Norm.norm", "NegZeroClass.toNeg", "WithCStarModule.instNormedAddCommGroupForall._proof_18", "NonUnitalNormedRing.toNorm", "Real", "iInf", "NonUnitalCStarAlgebra.toNonUnitalNormedRing", "PseudoMetricSpace.uniformity_dist._autoParam", "Equiv.instEquivLike", "Finset.univ", "In...
false
Equiv.Perm.IsCycleOn.of_inv
Mathlib.GroupTheory.Perm.Cycle.Basic
[ "Equiv.Perm.instInv", "Equiv.Perm.isCycleOn_inv", "Inv.inv", "Equiv.Perm", "Iff.mp", "Equiv.Perm.IsCycleOn", "Set" ]
true
Equiv.symm_preimage_preimage
Mathlib.Logic.Equiv.Set
[ "Function.LeftInverse.preimage_preimage", "Equiv.instEquivLike", "Equiv", "Set.preimage", "Equiv.symm", "Equiv.rightInverse_symm", "Eq", "DFunLike.coe", "EquivLike.toFunLike", "Set" ]
true
Filter.eventually_forall_ge_atTop
Mathlib.Order.Filter.AtTopBot.Finite
[ "iInf", "le_rfl", "Set.Ici", "Set.iInter", "Filter.instInfSet", "Filter.Eventually", "setOf", "Filter.mem_iInf_of_iInter", "Preorder.toLE", "Set.Finite", "Membership.mem", "Exists", "Eq.mp", "Set.Elem", "LE.le", "Filter.hasBasis_iInf_principal_finite", "Subtype.mk", "And.casesOn", ...
true
AlgebraicGeometry.Proj.zero_apply
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf
[ "SetLike", "CategoryTheory.Functor", "CommRing", "Opposite", "CommRingCat.carrier", "AddGroupWithOne.toAddGroup", "TopologicalSpace.Opens.instPartialOrder", "CommSemiring.toSemiring", "CommRingCat", "AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.IsFraction._proof_1", "TopCat.PrelocalPredic...
true
Std.HashMap.Raw.isEmpty_inter_left
Std.Data.HashMap.RawLemmas
[ "Std.HashMap.Raw.WF.out", "Std.DHashMap.Raw.isEmpty_inter_left", "Std.HashMap.Raw.WF", "LawfulHashable", "Std.HashMap.Raw", "Inter.inter", "Bool.true", "Std.HashMap.Raw.isEmpty", "EquivBEq", "Bool", "Std.HashMap.Raw.inner", "Std.HashMap.Raw.instInterOfBEqOfHashable", "Hashable", "BEq", "...
true
List.length_filter_pos_iff._simp_1
Init.Data.List.Nat.Basic
[ "Membership.mem", "Exists", "instOfNatNat", "List.length_filter_pos_iff", "Bool.true", "List", "And", "List.instMembership", "Nat", "List.filter", "LT.lt", "propext", "Bool", "instLTNat", "OfNat.ofNat", "Eq", "List.length" ]
false
CategoryTheory.MorphismProperty.colimitsOfShape
Mathlib.CategoryTheory.MorphismProperty.Limits
[ "CategoryTheory.MorphismProperty", "CategoryTheory.MorphismProperty.colimitsOfShape.mk", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Category" ]
true
Array.lt_toList
Init.Data.Array.Lex.Lemmas
[ "Iff.rfl", "Array.instLT", "Array.toList", "List.instLT", "Array", "List", "Iff", "LT.lt", "LT" ]
true
_private.Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Topology.0.ProjectiveSpectrum.instPartialOrder._simp_3
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Topology
[ "imp_self", "True", "propext", "Eq" ]
false
CategoryTheory.GrothendieckTopology.Cover.Relation.mk.inj
Mathlib.CategoryTheory.Sites.Grothendieck
[ "CategoryTheory.GrothendieckTopology.Cover.Arrow.Relation", "And", "CategoryTheory.GrothendieckTopology.Cover.Arrow", "CategoryTheory.GrothendieckTopology.Cover", "CategoryTheory.GrothendieckTopology", "And.intro", "CategoryTheory.GrothendieckTopology.Cover.Relation", "eq_of_heq", "CategoryTheory.Gr...
true
CategoryTheory.MonoidalCategory.«_aux_Mathlib_CategoryTheory_Monoidal_Category___macroRules_CategoryTheory_MonoidalCategory_term_◁__1»
Mathlib.CategoryTheory.Monoidal.Category
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Name.mkStr3",...
false
AddCommGroup.mem_primaryComponent_iff_addOrderOf
Mathlib.GroupTheory.Torsion
[ "instHSMul", "Nat.Prime", "AddCommGroup.toAddCommMonoid", "Nat.instMonoid", "AddMonoid.toAddZeroClass", "addOrderOf", "AddMonoid.toNSMul", "AddCommGroup.toAddGroup", "Membership.mem", "Exists", "Fact", "AddZeroClass.toAddZero", "AddCommGroup", "exists_addOrderOf_eq_prime_pow_iff", "Monoi...
true
CategoryTheory.Lax.OplaxTrans.rightUnitor
Mathlib.CategoryTheory.Bicategory.FunctorBicategory.Lax
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Lax.OplaxTrans.isoMk", "CategoryTheory.Bicategory.rightUnitor", "CategoryTheory.Lax.OplaxTrans.instCategoryStructLaxFunctor", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Iso", "CategoryTheory.Lax.OplaxTrans.app", "Catego...
true
Lean.Meta.Grind.Arith.Cutsat.SymbolicBound.noConfusion
Lean.Meta.Tactic.Grind.Arith.Cutsat.ToIntInfo
[ "Lean.Expr", "Int", "Lean.Meta.Grind.Arith.Cutsat.SymbolicBound", "Lean.Meta.Grind.Arith.Cutsat.SymbolicBound.noConfusionType", "Eq.ndrec", "Lean.Meta.Grind.Arith.Cutsat.SymbolicBound.casesOn", "Eq.refl", "Eq", "Option" ]
false
subsetSupSet
Mathlib.Order.CompleteLatticeIntervals
[ "subsetSupSet._proof_1", "Inhabited.default", "Classical.propDecidable", "Preorder.toLE", "Membership.mem", "Set.Elem", "SupSet.mk", "SupSet", "BddAbove", "dite", "Subtype.mk", "And", "Set.Nonempty", "Inhabited", "Set.image", "instDecidableAnd", "Subtype.val", "Set.instMembership",...
true
_private.Mathlib.GroupTheory.SpecificGroups.Quaternion.0.QuaternionGroup.mul.eq_2
Mathlib.GroupTheory.SpecificGroups.Quaternion
[ "HMul.hMul", "ZMod.commRing", "AddGroupWithOne.toAddGroup", "HSub.hSub", "instMulNat", "instOfNatNat", "ZMod", "QuaternionGroup", "SubNegMonoid.toSub", "QuaternionGroup.a", "instHSub", "AddGroup.toSubNegMonoid", "Nat", "_private.Mathlib.GroupTheory.SpecificGroups.Quaternion.0.QuaternionGro...
true
Lean.Grind.ConfigInteractive.gen._inherited_default
Init.Grind.Config
[ "id", "instOfNatNat", "Nat", "OfNat.ofNat" ]
false
_private.Mathlib.NumberTheory.Chebyshev.0.Chebyshev.psi_eq_sum_mul_log_prime._proof_1_14
Mathlib.NumberTheory.Chebyshev
[ "Lean.RArray.leaf", "False", "of_decide_eq_true", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "Classical.byContradiction", "HSub.hSub", "Nat.not_le_eq", "Lean.Grind.Nat.lt_eq", "Preorder.toLE", "Eq.mp", "Nat.ToInt.natCast_ofNat", "id", "Lean.RArray", "Int.instNegInt", "Int.Linear...
false
_private.Mathlib.Algebra.Homology.Factorizations.CM5a.0.CochainComplex.Plus.modelCategoryQuillen.cm5a_cof.step₁.quasiIsoAt_π._simp_1_5
Mathlib.Algebra.Homology.Factorizations.CM5a
[ "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomologicalComplex.HasHomology", "HomologicalComplex", "CategoryTheory.CategoryStruct.id", "HomologicalComplex.homologyMap_id", "ComplexShape", "HomologicalComplex....
false
_private.Lean.Meta.Tactic.Grind.PP.0.Lean.Meta.Grind.Result.no.elim
Lean.Meta.Tactic.Grind.PP
[ "PULift.up", "_private.Lean.Meta.Tactic.Grind.PP.0.Lean.Meta.Grind.Result.no", "_private.Lean.Meta.Tactic.Grind.PP.0.Lean.Meta.Grind.Result", "_private.Lean.Meta.Tactic.Grind.PP.0.Lean.Meta.Grind.Result.ctorIdx", "Nat", "Eq.symm", "Eq", "_private.Lean.Meta.Tactic.Grind.PP.0.Lean.Meta.Grind.Result.ctor...
false
_private.Mathlib.RingTheory.Smooth.NoetherianDescent.0.Algebra.Smooth.DescentAux.algebra₀._proof_3
Mathlib.RingTheory.Smooth.NoetherianDescent
[ "Subalgebra.instSetLike", "Nat.instMulZeroClass", "CommRing", "Algebra.Generators.Ring", "instSMulOfMul", "HMul.hMul", "CommSemiring.toSemiring", "_private.Mathlib.RingTheory.Smooth.NoetherianDescent.0.Algebra.Smooth.DescentAux.algebra₀._aux_1", "Finset", "Algebra.Presentation.coeffs", "_private...
false
_private.Mathlib.Analysis.Normed.Module.Ball.Homeomorph.0.OpenPartialHomeomorph.univUnitBall._simp_6
Mathlib.Analysis.Normed.Module.Ball.Homeomorph
[ "False", "eq_false", "pow_ne_zero", "Ne", "Monoid.toPow", "MonoidWithZero", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "Nat", "Zero.toOfNat0", "instHPow", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq", "MonoidWithZero.toMonoid", "MulZeroClass.toZero", "IsReduced" ]
false
_private.Mathlib.Algebra.Homology.SpectralObject.Page.0.CategoryTheory.Abelian.SpectralObject.shortComplexMap._proof_10
Mathlib.Algebra.Homology.SpectralObject.Page
[ "Nat.lt_of_not_le", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.LinearCombo.eval", "Option.some", "id", "instDecidableEqBool", "Int.instNegInt", "Int.sub_nonne...
false
ProbabilityTheory.integral_id_stdGaussian
Mathlib.Probability.Distributions.Gaussian.Multivariate
[ "NormedCommRing.toNormedRing", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "complete_of_proper", "Real", "instHSMul", "MeasureTheory.Measure", "NormedSpace.toIsBoundedSMul", "RCLike.toNormedAlgebra", "Finset.univ", "Measurable.aemeasurable", "Real.inst...
true
Polynomial.natDegree_removeFactor'
Mathlib.FieldTheory.SplittingField.Construction
[ "Eq.mpr", "AdjoinRoot", "congrArg", "HSub.hSub", "Polynomial.natDegree_removeFactor", "Polynomial.factor", "id", "Polynomial.fact_irreducible_factor", "instSubNat", "instOfNatNat", "Field.toSemifield", "Field.toCommRing", "Polynomial", "instHAdd", "instHSub", "Semifield.toDivisionSemir...
true
AddMonCat.adjoinZero._proof_2
Mathlib.Algebra.Category.MonCat.Adjunctions
[ "WithZero.mapAddHom_comp", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddSemigrp.str", "AddMonCat.hom_ext", "AddSemigrp.Hom.hom", "AddMonCat.ofHom", "AddMonCat", "AddMonCat.instCategory", "AddSemigroup.toAdd", "AddMonCat.of", "AddSemigrp.Hom.hom'", "WithZero", "WithZero.instA...
false
AddCommGrpCat.forget_createsLimitsOfSize.eq_1
Mathlib.Algebra.Category.Grp.Limits
[ "CategoryTheory.CreatesLimitsOfSize.mk", "AddCommGrpCat.instCategory", "CategoryTheory.CreatesLimitsOfShape", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "AddCommGrpCat.instConcreteCategoryAddMonoidHomCarrier", "AddZeroClass.toAddZero", "inferInstance", "AddCommGrpCat.carrier", "Categor...
true
_private.Init.Data.Array.Monadic.0.List.forIn'_eq_foldlM.match_1.eq_2
Init.Data.Array.Monadic
[ "ForInStep.done", "List.forIn'_eq_foldlM.match_1", "ForInStep", "Eq.refl", "Eq", "ForInStep.yield" ]
true
Subgroup.centerToMulOpposite_apply_coe
Mathlib.GroupTheory.Subgroup.Center
[ "MulEquiv.instEquivLike", "Monoid.toMulOneClass", "MulOpposite", "Subgroup.mul", "Group", "Membership.mem", "Subgroup.centerToMulOpposite", "MulOne.toMul", "Subtype", "DivInvMonoid.toMonoid", "Subgroup", "Subgroup.center", "MulOpposite.instGroup", "Group.toDivInvMonoid", "MulOneClass.toM...
true
FirstOrder.Language.IsOrdered.casesOn
Mathlib.ModelTheory.Order
[ "instOfNatNat", "Nat", "FirstOrder.Language.Relations", "FirstOrder.Language.IsOrdered", "FirstOrder.Language", "OfNat.ofNat", "FirstOrder.Language.IsOrdered.rec", "FirstOrder.Language.IsOrdered.mk" ]
false
CategoryTheory.uliftFunctorTrivial._proof_1
Mathlib.CategoryTheory.Types.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.uliftTrivial", "CategoryTheory.Functor.id", "id", "CategoryTheory.uliftFunctor", "CategoryTheory.Functor.map", "CategoryTheory.types", "CategoryTheory.CategoryStruct.comp", "Eq.refl", "CategoryTheory.Category.toCategoryStruc...
false
Module.IsTorsionBySet.hasSMul._proof_1
Mathlib.Algebra.Module.Torsion.Basic
[ "Module.IsTorsionBySet", "Semiring.toModule", "Module.annihilator", "congrArg", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddSubgroup.instPartialOrder", "Preorder.toLE", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "AddCommGroup", "Eq.mp"...
false
IsSemiprimaryRing.isSemisimpleRing
Mathlib.RingTheory.Jacobson.Semiprimary
[ "IsSemiprimaryRing", "Ideal", "HasQuotient.Quotient", "Ideal.Quotient.ring", "Ideal.instHasQuotient", "Ring.instIsTwoSidedJacobson", "IsSemisimpleRing", "Ring.jacobson", "Ring.toSemiring", "Ring" ]
true
Lean.instInhabitedLocalInstance
Lean.MetavarContext
[ "Lean.LocalInstance", "Lean.instInhabitedLocalInstance.default", "Inhabited", "Inhabited.mk" ]
true
AddGroupFilterBasis.mk._flat_ctor
Mathlib.Topology.Algebra.FilterBasis
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "AddMonoid.toAddSemigroup", "Membership.mem", "Exists", "AddGroupFilterBasis.mk", "HasSubset.Subset", "SubtractionMonoid.toSubNegZeroMonoid", "Set.instInter", "SubNegZeroMonoid.toNegZeroClass", "AddGroupFilterBasis", "Inter.inter", "instH...
false
MeasureTheory.Measure.setLIntegral_condKernel_univ_right
Mathlib.Probability.Kernel.Disintegration.Integral
[ "Set.instSProd", "Eq.mpr", "StandardBorelSpace", "MeasureTheory.Measure", "MeasurableSet", "SProd.sprod", "congrArg", "Set.univ", "Measurable", "ENNReal.measurableSpace", "MeasureTheory.Measure.restrict", "ProbabilityTheory.Kernel.instFunLike", "id", "Prod.mk", "MeasureTheory.Measure.set...
true
Ideal.instIsTwoSidedComap
Mathlib.RingTheory.Ideal.Maps
[ "Eq.mpr", "Semiring.toModule", "HMul.hMul", "congrArg", "Membership.mem", "id", "Ideal.IsTwoSided", "Ideal", "instDistribOfSemiring", "map_mul", "RingHomClass.toNonUnitalRingHomClass", "Distrib.toMul", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Ideal.mul_mem_right", "Submodule.setL...
true
ContinuousMap.instMulZeroClassOfContinuousMul
Mathlib.Topology.ContinuousMap.Algebra
[ "MulZeroClass.toMul", "ContinuousMap", "MulZeroClass", "TopologicalSpace", "ContinuousMul", "ContinuousMap.instMul", "ContinuousMap.instZero", "ContinuousMap.instMulZeroClassOfContinuousMul._proof_1", "ContinuousMap.instMulZeroClassOfContinuousMul._proof_2", "MulZeroClass.mk", "MulZeroClass.toZe...
true
Std.HashMap.Raw.«term_~m_»
Std.Data.HashMap.Raw
[ "Lean.ParserDescr.trailingNode", "instOfNatNat", "Lean.ParserDescr.binary", "Nat", "Lean.ParserDescr.symbol", "Lean.ParserDescr.cat", "OfNat.ofNat", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.TrailingParserDescr" ]
true
CategoryTheory.Subgroupoid.inclusion_trans
Mathlib.CategoryTheory.Groupoid.Subgroupoid
[ "CategoryTheory.Functor", "PartialOrder.toPreorder", "CategoryTheory.Functor.comp", "Preorder.toLE", "CategoryTheory.Groupoid", "Set.Elem", "LE.le", "CategoryTheory.Subgroupoid.instPartialOrder", "CategoryTheory.Subgroupoid", "CategoryTheory.Subgroupoid.coe", "CategoryTheory.Subgroupoid.inclusio...
true
Affine.Simplex.mongePoint.eq_1
Mathlib.Geometry.Euclidean.MongePoint
[ "InnerProductSpace.toNormedSpace", "Affine.Simplex.points", "Real", "instHSMul", "instHDiv", "Finset.univ", "AddMonoid.toAddSemigroup", "Real.instRCLike", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Real.instDivInvMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroCl...
true
_private.Mathlib.Order.Filter.CountableInter.0.Filter.mem_countableGenerate_iff._simp_1_1
Mathlib.Order.Filter.CountableInter
[ "HasSubset.Subset", "subset_refl", "Std.Refl", "True", "eq_true", "HasSubset", "Eq" ]
false
Heyting.Regular.instBooleanAlgebra._proof_10
Mathlib.Order.Heyting.Regular
[ "Lattice.toSemilatticeSup", "Heyting.Regular.instCompl", "Compl.compl", "Heyting.Regular.lattice", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "Heyting.Regular.coe_le_coe", "SemilatticeSup.toMax", "Heyting.Regular", "LE.le", "Heyting.Regular.instPartialOrder", ...
false
Path.extend_of_le_zero
Mathlib.Topology.Path
[ "Iff.mpr", "Real.instLE", "Real", "Real.instZero", "ContinuousMap", "PartialOrder.toPreorder", "PseudoMetricSpace.toUniformSpace", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "LE.le", "Set.IccExtend_of_le_left", "Subtype.mk", "Real.inst...
true
MonoidHom.smulOneHom.eq_1
Mathlib.Algebra.Group.Action.Hom
[ "Monoid", "MonoidHom.smulOneHom", "MulOne.toOne", "instHSMul", "instSMulOfMul", "MonoidHom", "Monoid.toMulOneClass", "MonoidHom.smulOneHom._proof_1", "IsScalarTower", "OneHom.mk", "MulOne.toMul", "MonoidHom.mk", "MulOneClass.toMulOne", "MulAction", "Monoid.toSemigroup", "One.toOfNat1",...
true
ProofWidgets.Html.noConfusionType
ProofWidgets.Data.Html
[ "Lean.Json", "ProofWidgets.Html.component.elim", "ProofWidgets.Html", "UInt64", "String", "ProofWidgets.Html.element.elim", "dite", "Array", "ProofWidgets.Html.text.elim", "Nat", "ProofWidgets.Html.ctorIdx", "Nat.decEq", "ProofWidgets.Html.casesOn", "ProofWidgets.LazyEncodable", "Prod", ...
false
inv_mul_le_one_of_le₀
Mathlib.Algebra.Order.GroupWithZero.Basic
[ "Eq.mpr", "GroupWithZero.toMonoidWithZero", "MulOne.toOne", "GroupWithZero.toDivisionMonoid", "InvOneClass.toOne", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "inv_mul_le_of_le_mul₀", "MulZeroClass.toMul", "congrArg", "PartialOrder.toPreorder", "GroupWithZero", "Preorder.toLE", "Division...
true
Std.ExtTreeMap.ext_getKey?_unit
Std.Data.ExtTreeMap.Lemmas
[ "Std.ExtTreeMap.getKey?", "Ordering", "Std.TransCmp", "Unit", "Std.ExtDTreeMap.Const.ext_getKey?_unit", "Std.ExtTreeMap", "_private.Std.Data.ExtTreeMap.Lemmas.0.Std.ExtTreeMap.ext", "Std.ExtTreeMap.inner", "Eq", "Option" ]
true
IsZLattice.basis._proof_2
Mathlib.Algebra.Module.ZLattice.Basic
[ "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Submodule", "Real", "Pi.addCommMonoid", "Pi.topologicalSpace", "Real.instRCLike", "AddCommGroup.toAddCommMonoid", "DiscreteTopology", "Submodule.addCommMonoid", "NormedSpace.toModule", "FiniteDimensional.rclike_to_real"...
false
CategoryTheory.Presieve.CoverByImageStructure.mk.inj
Mathlib.CategoryTheory.Sites.DenseSubsite.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Presieve.CoverByImageStructure", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "autoParam", "And", "And.intro", "CategoryTheory.Presieve.CoverByImageStructure.fac._autoParam", "CategoryTheory.CategoryStruct.comp", "eq_of_heq", "HEq", "Categor...
true
_private.Lean.Environment.0.Lean.Environment.realizeValue.match_1
Lean.Environment
[ "Unit.unit", "Option.casesOn", "Option.some", "_private.Lean.Environment.0.Lean.RealizationContext", "Option.none", "Unit", "Option" ]
false
MeasureTheory.FiniteMeasure.tendsto_iff_forall_testAgainstNN_tendsto
Mathlib.MeasureTheory.Measure.FiniteMeasure
[ "MeasureTheory.FiniteMeasure.instTopologicalSpace", "NNReal.instTopologicalSpace", "MeasureTheory.FiniteMeasure", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "NNReal.instCommSemiring", "Semiring.toModule", "NNReal.isBoundedSMul", "congrArg", "CommSemiring.toSemiring", "SeparatelyContinu...
true
Lean.LocalContext.lastDeclM
Mathlib.Lean.LocalContext
[ "Pure.pure", "Lean.LocalContext.findDeclRevM?", "Function.comp", "AlternativeMonad.toAlternative", "AlternativeMonad.toMonad", "Applicative.toPure", "Unit", "_private.Mathlib.Lean.LocalContext.0.Lean.LocalContext.firstDeclM.match_1", "Alternative.failure", "Alternative.toApplicative", "Monad.toB...
true
ContMDiffAt.clm_comp
Mathlib.Geometry.Manifold.ContMDiff.NormedSpace
[ "ContinuousLinearMap.comp", "NormedCommRing.toSeminormedCommRing", "ContinuousLinearMap.toNormedAddCommGroup", "ContMDiffAt.contMDiffWithinAt", "chartedSpaceSelf", "NormedSpace", "ContinuousLinearMap.topologicalSpace", "AddCommGroup.toAddCommMonoid", "Set.univ", "NormedSpace.toModule", "PseudoMe...
true
CliffordAlgebra.even.lift.aux
Mathlib.LinearAlgebra.CliffordAlgebra.Even
[ "Subalgebra.instSetLike", "AlgHom.toLinearMap", "LinearMap.fst", "Submodule", "CommRing", "CliffordAlgebra.EvenHom", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "CliffordAlgebra", "Submodule.addCommMonoid", "LinearMap.addCommGroup", "instAlgebraCliffordAlgebra", "Subalgebra.va...
true
_private.Lean.Meta.Tactic.Simp.Arith.Int.Basic.0.Lean.Meta.Simp.Arith.Int.ToLinear.run.match_1
Lean.Meta.Tactic.Simp.Arith.Int.Basic
[ "Prod.mk", "Prod", "Prod.casesOn", "Lean.Meta.Simp.Arith.Int.ToLinear.State" ]
false
Std.instAntisymmLeOfIsPartialOrder
Init.Data.Order.Lemmas
[ "Std.Antisymm", "Std.IsPartialOrder", "LE.le", "LE", "Std.Antisymm.mk", "Std.IsPartialOrder.le_antisymm" ]
true
_private.Mathlib.Data.Finsupp.Basic.0.Finsupp.mem_support_finsetSum.match_1_3
Mathlib.Data.Finsupp.Basic
[ "Multiset.map", "Finset", "AddMonoid.toAddZeroClass", "Finsupp.support", "Membership.mem", "Exists", "AddZeroClass.toAddZero", "Multiset", "Finset.val", "AddCommMonoid", "And.casesOn", "AddZero.toZero", "Multiset.instMembership", "And", "Exists.casesOn", "Finset.instSetLike", "And.in...
false
Lean.Lsp.instFromJsonReferenceParams.fromJson
Lean.Data.Lsp.LanguageFeatures
[ "Pure.pure", "Lean.Lsp.instFromJsonReferenceContext", "Lean.Json", "Monad.toApplicative", "String", "Lean.Lsp.instFromJsonPosition", "Lean.Name.mkStr3", "Lean.Json.getObjValAs?", "Lean.Lsp.ReferenceParams", "Applicative.toPure", "ToString.toString", "Except.instMonad", "Lean.Lsp.TextDocument...
true
Monovary.inv_left
Mathlib.Algebra.Order.Monovary
[ "Iff.mpr", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "Monovary", "IsOrderedMonoid", "Antivary", "PartialOrder.toPreorder", "Pi.instInv", "DivisionMonoid.toDivInvOneMonoid", "PartialOrder", "CommGroup", "CommGroup.toDivisionCommMonoid", "antivary_inv_left", "In...
true
Std.DTreeMap.Const.getKey?_insertManyIfNewUnit_list_of_not_mem_of_mem
Std.Data.DTreeMap.Lemmas
[ "List.Pairwise", "Std.DTreeMap", "instForInOfForIn'", "Ord.mk", "Option.some", "Membership.mem", "Ordering", "inferInstance", "Ordering.eq", "Std.DTreeMap.inner", "Std.TransCmp", "Id", "Std.DTreeMap.getKey?", "Membership", "Std.DTreeMap.Const.insertManyIfNewUnit", "Std.DTreeMap.Interna...
true
_private.Mathlib.NumberTheory.Cyclotomic.Basic.0.IsCyclotomicExtension.instSubsingleton._simp_1
Mathlib.NumberTheory.Cyclotomic.Basic
[ "Subalgebra.instSetLike", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "PartialOrder.toPreorder", "Algebra.instCompleteLatticeSubalgebra", "Algebra", "Preorder.toLE", "Membership.mem", "CompleteLattice.toBoundedOrder", "CommSemiring", "OrderTop.toTop", "BoundedOrder.toOrderTop", ...
false
op_smul_mul
Mathlib.Algebra.Group.Action.Opposite
[ "Monoid", "MulOpposite.instSemigroup", "instHSMul", "HMul.hMul", "Monoid.toMulOneClass", "MulOpposite", "MulOne.toMul", "MulOneClass.toMulOne", "MulAction", "MulOpposite.instMonoid", "Monoid.toSemigroup", "HSMul.hSMul", "SemigroupAction.toSMul", "PreOpposite.op'", "MulAction.toSemigroupA...
true
Module.IsReflexive.of_split
Mathlib.LinearAlgebra.Dual.Defs
[ "LinearMap.id", "Semiring.toModule", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "Module.IsReflexive", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "Module.IsReflexive.mk", "Function.comp", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "Function.Surjective.o...
true
CategoryTheory.ComposableArrows.scMap_τ₂
Mathlib.Algebra.Homology.ExactSequence
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ComposableArrows.scMap", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ComposableArrows.IsComplex", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "CategoryTheory.ComposableArrows", "CategoryTheory.Com...
true
Std.Tactic.BVDecide.BVExpr.bitblast.blastUdiv.BlastDivSubtractShiftOutput.noConfusionType
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Udiv
[ "Std.Sat.AIG.Decl", "LE.le", "instLENat", "Std.Sat.AIG", "Nat", "Std.Tactic.BVDecide.BVExpr.bitblast.blastUdiv.BlastDivSubtractShiftOutput", "HEq", "Hashable", "Std.Tactic.BVDecide.BVExpr.bitblast.blastUdiv.BlastDivSubtractShiftOutput.casesOn", "Std.Sat.AIG.RefVec", "Eq", "Array.size", "Std....
false
associatedPrimes.nonempty
Mathlib.RingTheory.Ideal.AssociatedPrime.Basic
[ "Nontrivial", "Submodule", "Submodule.colon", "Semiring.toModule", "IsAssociatedPrime", "exists_le_isAssociatedPrime_of_isNoetherianRing", "CommSemiring.toSemiring", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "AddZeroClass.toAddZero", ...
true
Topology.WithUpperSet.map
Mathlib.Topology.Order.UpperLowerSetTopology
[ "Topology.WithUpperSet.toUpperSet", "Equiv.instEquivLike", "Topology.WithUpperSet.instTopologicalSpace", "ContinuousMap.mk", "ContinuousMap", "Topology.WithUpperSet.map._proof_1", "Function.comp", "Equiv", "Topology.WithUpperSet", "Topology.WithUpperSet.ofUpperSet", "OrderHom.instFunLike", "DF...
true
_private.Mathlib.RingTheory.Ideal.Height.0.Ideal.isMaximal_of_height_eq_ringKrullDim._simp_1_1
Mathlib.RingTheory.Ideal.Height
[ "Preorder.toLT", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "not_lt", "LT.lt", "propext", "Eq.symm", "LinearOrder.toPartialOrder", "Eq", "Not" ]
false
DomMulAct.map_mk_nhds
Mathlib.Topology.Algebra.Constructions.DomMulAct
[ "DomMulAct", "Equiv.instEquivLike", "Filter.map", "Homeomorph.map_nhds_eq", "nhds", "DomMulAct.mkHomeomorph", "Equiv", "DomMulAct.instTopologicalSpace", "DomMulAct.mk", "TopologicalSpace", "Eq", "DFunLike.coe", "Filter", "EquivLike.toFunLike" ]
true
_private.Mathlib.Algebra.Group.Semiconj.Basic.0.SemiconjBy.inv_symm_left_iff._simp_1_1
Mathlib.Algebra.Group.Semiconj.Basic
[ "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "MulOne.toMul", "DivInvMonoid.toMonoid", "eq_mul_inv_iff_mul_eq", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "Inv.inv", "propext", "InvOneClass....
false
CategoryTheory.CartesianCopyDiscard.ofCartesianMonoidalCategory
Mathlib.CategoryTheory.CopyDiscardCategory.Cartesian
[ "CategoryTheory.CartesianCopyDiscard.instIsCommComonObjOfCartesian", "CategoryTheory.CartesianMonoidalCategory.toSymmetricCategory", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.CartesianMonoidalCategory", "CategoryTheory.BraidedCategory", "CategoryTheory.CopyDiscardC...
true
Unitization.unitsFstOne_mulEquiv_quasiregular._proof_5
Mathlib.Algebra.Algebra.Spectrum.Quasispectrum
[ "Units.val", "PreQuasiregular.equiv", "MulOne.toOne", "instSMulOfMul", "Equiv.instEquivLike", "HMul.hMul", "Unitization.unitsFstOne_mulEquiv_quasiregular._proof_2", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass",...
false
Module.Free.instIsTorsionFree
Mathlib.LinearAlgebra.FreeModule.Basic
[ "Module.IsTorsionFree", "Module.Basis.isTorsionFree", "AddCommMonoid", "Module.Free", "Module.Basis", "Module.Free.exists_basis", "_private.Mathlib.LinearAlgebra.FreeModule.Basic.0.Module.Free.instIsTorsionFree.match_1", "Semiring", "Nonempty", "Module", "Sigma" ]
true
Mathlib.CountHeartbeats.«_aux_Mathlib_Util_CountHeartbeats___elabRules_Mathlib_CountHeartbeats_command#count_heartbeatsApproximatelyIn___1»
Mathlib.Util.CountHeartbeats
[ "Pure.pure", "Lean.Syntax.node", "Lean.instBEqFVarId", "Lean.TSyntax", "Lean.MessageData", "Inhabited.default", "Lean.Elab.Command.CommandElab", "Array.mkEmpty", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "instHDiv", "Lean.LocalContext.mk", "Lean.Meta.State.mk", "HMul.hMul", ...
false
small_plift
Mathlib.Logic.Small.Defs
[ "PLift", "Equiv.plift", "small_map", "Small" ]
true
Mathlib.Tactic._aux_Mathlib_Tactic_CasesM___elabRules_Mathlib_Tactic_casesM_1
Mathlib.Tactic.CasesM
[ "Lean.Syntax.TSepArray.mk", "Lean.TSyntax", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Syntax.getArgs", "Lean.Meta.State", "Lean.Syntax.TSepArray.getElems", "Lean.Syntax.isOfKind", "Mathlib.Tactic.elabCasesM", "Lean.Elab.Tactic.Context", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Name.mkStr3",...
false
Lean.Elab.Tactic.BVDecide.Frontend.LemmaM.withBVLogicalCache
Lean.Elab.Tactic.BVDecide.Frontend.BVDecide.Reflect
[ "Pure.pure", "Lean.Elab.Tactic.BVDecide.Frontend.LemmaState.bvLogicalCache", "StateRefT'.instAlternativeOfMonad", "Lean.Core.instMonadLiftIOCoreM", "IO.instMonadLiftSTRealWorldBaseIO", "modify", "Lean.Expr.instBEq", "Lean.Elab.Tactic.BVDecide.Frontend.ReifiedBVLogical", "Lean.Meta.State", "instMon...
true
CategoryTheory.Limits.WalkingReflexivePair.Hom.right
Mathlib.CategoryTheory.Limits.Shapes.Reflexive
[ "CategoryTheory.Limits.WalkingReflexivePair.zero", "CategoryTheory.Limits.WalkingReflexivePair.one", "CategoryTheory.Limits.WalkingReflexivePair.Hom", "CategoryTheory.Limits.WalkingReflexivePair.Hom.right" ]
true
ModuleCat.isColimitCokernelCofork._proof_1
Mathlib.Algebra.Category.ModuleCat.Kernels
[ "Function.Exact", "Submodule", "RingHomSurjective.ids", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ModuleCat", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "LinearMap.ker", "LinearMap.instFunLike", "AddZeroClass.toAddZero", "LinearMap.range", "SubtractionMonoid.t...
false
CategoryTheory.zigzag_equivalence
Mathlib.CategoryTheory.IsConnected
[ "refl_of", "CategoryTheory.zag_symm", "Equivalence", "CategoryTheory.Zigzag", "symm_of", "CategoryTheory.Zag", "Equivalence.mk", "Relation.ReflTransGen.stdSymm", "Relation.instReflReflTransGen", "CategoryTheory.Category", "trans_of", "Relation.instIsTransReflTransGen", "Relation.ReflTransGen...
true
AffineMap.homothety._proof_1
Mathlib.LinearAlgebra.AffineSpace.AffineMap
[ "CommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddCommGroup", "smulCommClass_self", "CommRing.toCommSemiring", "CommMonoid.toMonoid", "Monoid.toSemigroup", "Module.toDistribMulAction", "SemigroupAction.toSMul", "AddCommMonoid.toAddMonoid", "Module", "CommRing.toCommM...
false
Lean.Grind.Semiring.add_zero
Init.Grind.Ring.Basic
[ "Lean.Grind.Semiring.toAdd", "Lean.Grind.Semiring.ofNat", "instHAdd", "HAdd.hAdd", "Lean.Grind.Semiring", "OfNat.ofNat", "Eq" ]
true
OrderIso.refl_apply
Mathlib.Order.Hom.Basic
[ "OrderIso", "LE", "instFunLikeOrderIso", "Eq", "DFunLike.coe", "rfl", "OrderIso.refl" ]
true
Finset.Nonempty.of_add_right
Mathlib.Algebra.Group.Pointwise.Finset.Basic
[ "Finset.Nonempty.of_image₂_right", "Finset", "instHAdd", "HAdd.hAdd", "Finset.Nonempty", "Finset.add", "Add", "DecidableEq" ]
true
GradedAlgHom.coe_fn_injective
Mathlib.RingTheory.GradedAlgebra.AlgHom
[ "Submodule", "CommSemiring.toSemiring", "GradedAlgHom", "Algebra", "Algebra.toModule", "CommSemiring", "GradedAlgebra", "DFunLike.coe_injective", "AddMonoid", "Semiring", "GradedAlgHom.instFunLike", "Function.Injective", "DFunLike.coe", "Semiring.toAddCommMonoid", "DecidableEq" ]
true
OreLocalization.nsmul_eq_nsmul
Mathlib.RingTheory.OreLocalization.Ring
[ "Inhabited.default", "instHSMul", "Semiring.toModule", "congrArg", "OreLocalization.OreSet", "OreLocalization", "AddMonoid.toNSMul", "id", "AddCommMonoid.uniqueNatModule", "AddCommMonoid", "MulZeroOneClass.toMulOneClass", "instMulZeroOneClassOfSemiring", "Unique.toInhabited", "Nat", "Ore...
true
CategoryTheory.Discrete.addMonoidal._proof_11
Mathlib.CategoryTheory.Monoidal.Discrete
[ "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddZero.toZero", "instHAdd", "CategoryTheory.Discrete.as", "HAdd.hAdd", "AddMonoid", "AddZero.toAdd", "Zero.toOfNat0", "add_zero", "OfNat.ofNat", "Eq", "CategoryTheory.Discrete" ]
false
CommCStarAlgebra.toNonUnitalCommCStarAlgebra._proof_3
Mathlib.Analysis.CStarAlgebra.Classes
[ "CStarAlgebra.toNonUnitalCStarAlgebra", "NonUnitalCStarAlgebra.toNonUnitalNormedRing", "instSMulOfMul", "NonUnitalNonAssocRing.toMul", "AddCommGroup.toAddCommMonoid", "IsScalarTower", "NormedSpace.toModule", "Complex.instNormedField", "NormedField.toField", "NonUnitalRing.toNonUnitalNonAssocRing",...
false
ChartedSpace.liftPropWithinAt_subtypeVal_comp_iff
Mathlib.Geometry.Manifold.LocalInvariantProperties
[ "Eq.mpr", "ContinuousWithinAt", "chartAt", "congrArg", "TopologicalSpace.Opens.instChartedSpace", "Iff.rfl", "TopologicalSpace.Opens", "Function.comp", "Membership.mem", "id", "Subtype", "OpenPartialHomeomorph.toFun'", "Topology.IsEmbedding.isInducing", "TopologicalSpace.Opens.instSetLike"...
true
_private.BatteriesRecycling.RBTree.WF.0.RBTree.RBNode.Balanced.del.match_1_8
BatteriesRecycling.RBTree.WF
[ "False", "RBTree.RBColor.red", "RBTree.RBNode.nil", "RBTree.RBNode.Balanced.nil", "RBTree.RBNode.del", "HEq.refl", "RBTree.RBColor.black", "False.elim", "RBTree.RBNode.isBlack", "RBTree.RBNode.ctorIdx", "noConfusion_of_Nat", "Ordering", "Eq.casesOn", "instOfNatNat", "RBTree.RBNode.Balanc...
false
instModUSize
Init.Data.UInt.Basic
[ "Mod", "USize.mod", "Mod.mk", "USize" ]
true
_private.Init.Data.String.Lemmas.Pattern.String.Basic.0.String.Slice.Pattern.Model.ForwardSliceSearcher.revMatchesAt_iff_splits.match_1_5
Init.Data.String.Lemmas.Pattern.String.Basic
[ "String", "String.Slice", "Exists", "String.Slice.copy", "instAppendString", "instHAppendOfAppend", "Exists.casesOn", "Exists.intro", "String.Slice.Pos", "HAppend.hAppend", "String.Slice.Pos.Splits" ]
false
Topology.RelCWComplex.Finite.rec
Mathlib.Topology.CWComplex.Classical.Finite
[ "Topology.RelCWComplex", "TopologicalSpace", "Topology.RelCWComplex.Finite.mk", "Topology.RelCWComplex.Finite", "Topology.RelCWComplex.FiniteDimensional", "Topology.RelCWComplex.FiniteType", "Set" ]
false
UniformCauchySeqOn.fun_sub
Mathlib.Topology.Algebra.IsUniformGroup.Basic
[ "UniformSpace", "HSub.hSub", "id", "IsUniformAddGroup", "SubNegMonoid.toSub", "AddGroup", "UniformCauchySeqOn.sub", "instHSub", "AddGroup.toSubNegMonoid", "UniformCauchySeqOn", "Filter", "Set" ]
true
Finset.image₂_congr'
Mathlib.Data.Finset.NAry
[ "Finset.image₂_congr", "Finset", "Membership.mem", "Finset.instSetLike", "Eq", "SetLike.instMembership", "DecidableEq", "Finset.image₂" ]
true
List.getElem?_partialProds
Batteries.Data.List.Scan
[ "Eq.mpr", "Decidable.casesOn", "One", "HMul.hMul", "congrArg", "Decidable", "List.instGetElem?NatLtLength", "Mul", "Option.some", "id", "LE.le", "instLENat", "if_pos", "Option.none", "List", "_private.Batteries.Data.List.Scan.0.List.getElem?_partialProds._proof_1_3", "List.partialPro...
true